Let’s solve each problem step by step. We’re dealing with scale drawings — that means a certain length on paper (like 1 inch or 1 cm) stands for a real-life distance (like 50 miles or 24 feet).
We’ll go one by one.
---
Problem 1:
The length of the highway is 7 inches on the drawing, and 1 inch represents 25 miles.
→ So, 7 × 25 =
175 miles
✔ Check: 7 × 25 → 7×20=140, 7×5=35 → 140+35=175 ✔️
---
Problem 2:
Dimensions of a building are 12 in. by 16 in. on the drawing. 1 in. = 24 ft.
→ Length: 12 × 24 = ?
12 × 20 = 240, 12 × 4 = 48 → 240 + 48 =
288 ft
→ Width: 16 × 24 = ?
16 × 20 = 320, 16 × 4 = 64 → 320 + 64 =
384 ft
✔ Check: 12×24=288, 16×24=384 ✔️
---
Problem 3:
Scale: 1 inch = 1 mile. Map shows 9 inches between two cities.
→ 9 × 1 =
9 miles
✔ Simple multiplication ✔️
---
Problem 4:
Scale: 1 inch = 50 feet. Road is 55 feet long in real life. How many inches on map?
→ Divide real length by scale: 55 ÷ 50 =
1.1 inches
✔ 55 ÷ 50 = 1.1 ✔️
---
Problem 5:
Map scale: 1 inch = 50 miles. Distance on map: 5.5 inches.
→ 5.5 × 50 = ?
5 × 50 = 250, 0.5 × 50 = 25 → 250 + 25 =
275 miles
✔ 5.5 × 50 = 275 ✔️
---
Problem 6:
Scale: 1 inch = 500 miles. Actual distance: 1500 miles. How many inches on map?
→ 1500 ÷ 500 =
3 inches
✔ 1500 ÷ 500 = 3 ✔️
---
Problem 7:
Building dimensions: 20 ft by 28 ft. Scale: 1 inch = 4 feet.
→ Length: 20 ÷ 4 =
5 inches
→ Width: 28 ÷ 4 =
7 inches
✔ 20÷4=5, 28÷4=7 ✔️
---
Problem 8:
Highway length: 7 inches on drawing. 1 inch = 100 miles.
→ 7 × 100 =
700 miles
✔ Straightforward ✔️
---
Problem 9:
Road is 55 feet long. Scale: 1 inch = 5 feet.
→ 55 ÷ 5 =
11 inches
✔ 55 ÷ 5 = 11 ✔️
---
Problem 10:
Map scale: 1 inch = 50 miles. Actual distance: 1000 miles.
→ 1000 ÷ 50 =
20 inches
✔ 1000 ÷ 50 = 20 ✔️
---
Final Answer:
1. 175 miles
2. 288 ft by 384 ft
3. 9 miles
4. 1.1 inches
5. 275 miles
6. 3 inches
7. 5 inches by 7 inches
8. 700 miles
9. 11 inches
10. 20 inches
Parent Tip: Review the logic above to help your child master the concept of scale problems worksheet.
